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Question

Choose the best answer. What is the missing term in the proportion $\frac{18}{114}=\frac{3}{x} ?$ A. x = 19 B. x = 38 C. x = 342 D. x = 684

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Determine the missing term.

$\begin{align*} \dfrac{18}{114}\quad &=\quad \dfrac{3}{x} && \text{Write the proportion}\\ 18 \cdot x \quad &=\quad 114 \cdot 3 && \text{Cross-multiply}\\ 18x \quad &= \quad 342 && \text{Simplify}\\ \dfrac{18x}{18} \quad &= \quad \dfrac{342}{18} && \text{Divide both sides by 18}\\ x \quad &= \quad 19 && \text{Simplify} \end{align*}$

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